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Finding the Fourth Proportional to 102,374.87, 153,562.32 and 40,001.63

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Solution

The fourth proportional to 102,374.87, 153,562.32 and 40,001.63 is: 60,002.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,374.87 : 153,562.32 = 40,001.63 : x
  2. Step 2: Convert to fraction form
    102,374.87/153,562.32 = 40,001.63/x
  3. Step 3: Cross multiply
    102,374.87x = 153,562.32 × 40,001.63
  4. Step 4: Simplify right side
    102,374.87x = 6,142,742,338.77
  5. Step 5: Solve for x
    x = 6,142,742,338.77/102,374.87
  6. Step 6: Final answer
    x = 60,002.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.